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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Pato, Mauricio Porto |
Pseudo-Hermitian Random Matrices |
I13074 |
2024 |
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| Title | Pseudo-Hermitian Random Matrices |
| Author(s) | Pato, Mauricio Porto |
| Publication | Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2024. |
| Description | XVII, 178 p. 58 illus., 49 illus. in color : online resource |
| Abstract Note | This book is a comprehensive guide to pseudo-Hermitian random matrices, their properties, and their role in many models that are relevant to physical processes. The book starts by showing how the concept of pseudo-Hermiticity emerged from studies of PT-symmetric systems which aroused the interest of the random matrix theory community. The chapters that follow discuss the consequences of the pseudo-Hermitian condition to the eigen-decomposition of non-Hermitian matrices, and an investigation of pseudo-Hermitian random matrices in tridiagonal form, discussing the scenario with real eigenvalues, and the appearance of complex eigenvalues generated by unbound and non-positive metrics. Subsequently, the author introduces pseudo-Hermitian Gaussian matrices and their properties including characteristic polynomials, and statistical properties of their eigenvalues. Finally, in the last chapter, the time invariance of the metric is upended and a pseudo-Hermitian model with a time dependent metricis constructed to discuss the time evolution of entangled states |
| ISBN,Price | 9783031602948 |
| Keyword(s) | 1. Algebras, Linear
2. COMPLEX SYSTEMS
3. EBOOK
4. EBOOK - SPRINGER
5. LINEAR ALGEBRA
6. MATHEMATICAL PHYSICS
7. NUCLEAR PHYSICS
8. PROBABILITIES
9. PROBABILITY THEORY
10. SYSTEM THEORY
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| Item Type | eBook |
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| I13074 |
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